Show that 0.3333 = 0.3 can be expressed in the form / , where p and q are integers and q 0.
Let x = 0.3333 ..
Multiplying equation (1) with 10
10x = 10 (0.333 )
10x = 3.333
Subtracting (2) from (1) i.e. (2) (1)
10x x = 3.3333 0.3333
9x = 3
x = 3/9
x = 1/3
Thus, 0.3333 = 1/3
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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